Photonic band using vector spherical waves .1. Various properties of Bloch electric fields and heavy photons

The calculation is presented for the photonic hands for the fcc array of dielectric spheres, using the vector spherical-waves as basis functions. It is shown that the dimension of the secular determinant is less than 100, or less than one tenth of that of the plane-wave basis functions. Based upon the calculated eigenvectors, the symmetry properties of the electric-field vectors, the angle between the electric- and displcement-field vectors and the orthonormality of the Bloch states are investigated. Also the convergence of the plane-wave expansion is examined. Furthermore, we have demonstrated the existence of the modes appropriately called heavy photons, whose origin is exactly identical to the electronic analogues, heavy fermions.